1050211388160 has 1728 divisors, whose sum is σ = 4409624217600. Its totient is φ = 236587253760.

The previous prime is 1050211388147. The next prime is 1050211388179. The reversal of 1050211388160 is 618831120501.

1050211388160 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 211 + 388 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×1050211388160² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13293815001 + ... + 13293815079.

Almost surely, 2^{1050211388160} is an apocalyptic number.

1050211388160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1050211388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204812108800).

1050211388160 is an abundant number, since it is smaller than the sum of its proper divisors (3359412829440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1050211388160 is an equidigital number, since it uses as much as digits as its factorization.

1050211388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 1050211388160 in words is "one trillion, fifty billion, two hundred eleven million, three hundred eighty-eight thousand, one hundred sixty".